This is an updated version of a story first published on Nov. 1, 2024 For centuries, students have learned that in a right ...

New concepts The key purpose of trigonometry is to understand the relationships between the corners and sides of triangles. It is used in areas like surveying, engineering and construction today.

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"We're going to look at trigonometry in a new way," says Wildberger. "We're going to leave sines and cosines to the circular motion part of mathematics and not force it on triangles." ...

Two New Orleans high school students have proven the Pythagorean Theorem using trigonometry without relying on circular reasoning. That should be impossible.